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                [JLOI2011]飞行路线                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div style="layout-grid-mode: char; text-indent: 23.65pt"><span style="font-size: medium">Alice和Bob现在要乘飞机旅行，他们选择了一家相对便宜的航空公司。该航空公司一共在n个城市设有业务，设这些城市分别标记为0到n-1，一共有m种航线，每种航线连接两个城市，并且航线有一定的价格。Alice和Bob现在要从一个城市沿着航线到达另一个城市，途中可以进行转机。航空公司对他们这次旅行也推出优惠，他们可以免费在最多k种航线上搭乘飞机。那么Alice和Bob这次出行最少花费多少？</span></div></p><hr/><h3>输入格式</h3><p><div style="layout-grid-mode: char; text-indent: 21pt"><span style="font-size: medium">数据的第一行有三个整数，n,m,k，分别表示城市数，航线数和免费乘坐次数。</span></div>
<div style="layout-grid-mode: char; text-indent: 21pt"><span style="font-size: medium">第二行有两个整数，s,t，分别表示他们出行的起点城市编号和终点城市编号。(0&lt;=s,t&lt;n)</span></div>
<div style="layout-grid-mode: char; text-indent: 21pt"><span style="font-size: medium">接下来有m行，每行三个整数，a,b,c，表示存在一种航线，能从城市a到达城市b，或从城市b到达城市a，价格为c。(0&lt;=a,b&lt;n,a与b不相等，0&lt;=c&lt;=1000)</span></div>
<div style="layout-grid-mode: char; text-indent: 21pt"><span style="font-size: medium">&nbsp;</span></div></p><hr/><h3>输出格式</h3><p><div style="layout-grid-mode: char">&nbsp;</div>
<div style="layout-grid-mode: char; text-indent: 21pt"><span style="font-size: medium">只有一行，包含一个整数，为最少花费。</span></div></p><hr/><h3>样例输入</h3><pre>5 6 1
0 4
0 1 5
1 2 5
2 3 5
3 4 5
2 3 3
0 2 100
</pre><hr/><h3>样例输出</h3><pre>8</pre><hr/><h3>提示</h3><p><p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; mso-para-margin-left: 2.0gd"><font size="3"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">对于</span><span lang="EN-US"><font face="Times New Roman">30%</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的数据</span><span lang="EN-US"><font face="Times New Roman">,2&lt;=n&lt;=50,1&lt;=m&lt;=300,k=0;</font></span></font></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; mso-para-margin-left: 2.0gd"><font size="3"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">对于</span><span lang="EN-US"><font face="Times New Roman">50%</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的数据</span><span lang="EN-US"><font face="Times New Roman">,2&lt;=n&lt;=600,1&lt;=m&lt;=6000,0&lt;=k&lt;=1;</font></span></font></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; mso-para-margin-left: 2.0gd"><font size="3"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">对于</span><span lang="EN-US"><font face="Times New Roman">100%</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的数据</span><span lang="EN-US"><font face="Times New Roman">,2&lt;=n&lt;=10000,1&lt;=m&lt;=50000,0&lt;=k&lt;=10.</font></span></font></p>
<p></p></p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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